Jordan derivations and antiderivations on triangular matrices

被引:72
作者
Benkovic, D [1 ]
机构
[1] Univ Maribor, Maribor 2000, Slovenia
关键词
triangular matrix algebra; Jordan derivation; antiderivation;
D O I
10.1016/j.laa.2004.10.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We define an antiderivation from an algebra A into an A-imodule M as a linear map delta : A --> M such that delta(ab) = delta(b)a + bdelta(a) for all a, b is an element of A. The main result states that every Jordan derivation from the algebra of all upper triangular matrices into its bimodule is the sum of a derivation and an antiderivation. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:235 / 244
页数:10
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